Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:20 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a Monte Carlo simulation study for a
two-level mixture regression for a continuous dependent variable with
between-level categorical latent class indicators
for a between-level categorical latent variable
montecarlo:
names are y x1 x2 w ub1-ub6;
nobservations = 1000;
ncsizes = 3;
csizes = 40 (5) 50 (10) 20 (15);
genclasses = cb(2 b);
classes = cb(2);
generate = ub1-ub6(1);
categorical = ub1-ub6;
between = cb w ub1-ub6;
within = x1 x2;
seed = 3454367;
nrep = 1;
save = ex10.3.dat;
analysis:
type = twolevel mixture;
model population:
%within%
%overall%
x1-x2*1;
[x1-x2*0];
y on x1*2 x2*1;
y*1;
%between%
%overall%
[w@0]; w@1;
cb#1 on w*1;
y on w*.7; y*.5;
[cb#1*0];
[y*1];
%cb#1%
[y*2.4];
[ub1$1-ub3$1*-1 ub4$1-ub6$1*1];
%cb#2%
[ub1$1-ub3$1*1 ub4$1-ub6$1*-1];
model:
%within%
%overall%
y on x1*2 x2*1;
y*1;
%between%
%overall%
cb#1 on w*1;
y on w*.7; y*.5;
[cb#1*0];
[y*1];
%cb#1%
[y*2.4];
[ub1$1-ub3$1*-1 ub4$1-ub6$1*1];
%cb#2%
[ub1$1-ub3$1*1 ub4$1-ub6$1*-1];
output:
tech8 tech9;
INPUT READING TERMINATED NORMALLY
this is an example of a Monte Carlo simulation study for a
two-level mixture regression for a continuous dependent variable with
between-level categorical latent class indicators
for a between-level categorical latent variable
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1000
Number of replications
Requested 1
Completed 1
Value of seed 3454367
Number of dependent variables 7
Number of independent variables 3
Number of continuous latent variables 0
Number of categorical latent variables 1
Observed dependent variables
Continuous
Y
Binary and ordered categorical (ordinal)
UB1 UB2 UB3 UB4 UB5 UB6
Observed independent variables
X1 X2 W
Categorical latent variables
CB
Variables with special functions
Within variables
X1 X2
Between variables
W UB1 UB2 UB3 UB4 UB5
UB6
Estimator MLR
Information matrix OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
Maximum number of iterations 100
Convergence criterion 0.100D-05
Optimization Specifications for the EM Algorithm
Maximum number of iterations 500
Convergence criteria
Loglikelihood change 0.100D-02
Relative loglikelihood change 0.100D-05
Derivative 0.100D-02
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
Number of M step iterations 1
M step convergence criterion 0.100D-02
Basis for M step termination ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
Number of M step iterations 1
M step convergence criterion 0.100D-02
Basis for M step termination ITERATION
Maximum value for logit thresholds 15
Minimum value for logit thresholds -15
Minimum expected cell size for chi-square 0.100D-01
Optimization algorithm EMA
Integration Specifications
Type STANDARD
Number of integration points 15
Dimensions of numerical integration 1
Adaptive quadrature ON
Link LOGIT
Cholesky OFF
SUMMARY OF DATA FOR THE FIRST REPLICATION
Cluster information
Size (s) Number of clusters of Size s
5 40
10 50
15 20
SAMPLE STATISTICS FOR THE FIRST REPLICATION
ESTIMATED SAMPLE STATISTICS
Means
Y X1 X2 W
________ ________ ________ ________
1.487 -0.024 -0.055 -0.087
Covariances
Y X1 X2 W
________ ________ ________ ________
Y 7.718
X1 1.944 1.008
X2 0.919 -0.020 0.961
W 1.048 0.000 0.000 0.943
Correlations
Y X1 X2 W
________ ________ ________ ________
Y 1.000
X1 0.697 1.000
X2 0.338 -0.021 1.000
W 0.388 0.000 0.000 1.000
MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -5937.458
MODEL FIT INFORMATION
Number of Free Parameters 21
Loglikelihood
H0 Value
Mean -1944.215
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -1944.215 -1944.215
0.980 0.000 -1944.215 -1944.215
0.950 0.000 -1944.215 -1944.215
0.900 0.000 -1944.215 -1944.215
0.800 0.000 -1944.215 -1944.215
0.700 0.000 -1944.215 -1944.215
0.500 0.000 -1944.215 -1944.215
0.300 0.000 -1944.215 -1944.215
0.200 0.000 -1944.215 -1944.215
0.100 0.000 -1944.215 -1944.215
0.050 0.000 -1944.215 -1944.215
0.020 0.000 -1944.215 -1944.215
0.010 0.000 -1944.215 -1944.215
Information Criteria
Akaike (AIC)
Mean 3930.430
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 3930.430 3930.430
0.980 0.000 3930.430 3930.430
0.950 0.000 3930.430 3930.430
0.900 0.000 3930.430 3930.430
0.800 0.000 3930.430 3930.430
0.700 0.000 3930.430 3930.430
0.500 0.000 3930.430 3930.430
0.300 0.000 3930.430 3930.430
0.200 0.000 3930.430 3930.430
0.100 0.000 3930.430 3930.430
0.050 0.000 3930.430 3930.430
0.020 0.000 3930.430 3930.430
0.010 0.000 3930.430 3930.430
Bayesian (BIC)
Mean 4033.493
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 4033.493 4033.493
0.980 0.000 4033.493 4033.493
0.950 0.000 4033.493 4033.493
0.900 0.000 4033.493 4033.493
0.800 0.000 4033.493 4033.493
0.700 0.000 4033.493 4033.493
0.500 0.000 4033.493 4033.493
0.300 0.000 4033.493 4033.493
0.200 0.000 4033.493 4033.493
0.100 0.000 4033.493 4033.493
0.050 0.000 4033.493 4033.493
0.020 0.000 4033.493 4033.493
0.010 0.000 4033.493 4033.493
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 3966.796
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 3966.796 3966.796
0.980 0.000 3966.796 3966.796
0.950 0.000 3966.796 3966.796
0.900 0.000 3966.796 3966.796
0.800 0.000 3966.796 3966.796
0.700 0.000 3966.796 3966.796
0.500 0.000 3966.796 3966.796
0.300 0.000 3966.796 3966.796
0.200 0.000 3966.796 3966.796
0.100 0.000 3966.796 3966.796
0.050 0.000 3966.796 3966.796
0.020 0.000 3966.796 3966.796
0.010 0.000 3966.796 3966.796
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 568.44434 0.56844
2 431.55566 0.43156
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 575 0.57500
2 425 0.42500
CLASSIFICATION QUALITY
Entropy 0.798
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.951 0.049
2 0.051 0.949
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.962 0.038
2 0.066 0.934
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 3.225 0.000
2 -2.657 0.000
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Within Level
Latent Class 1
Y ON
X1 2.000 1.9583 0.0000 0.0327 0.0017 1.000 1.000
X2 1.000 0.9760 0.0000 0.0339 0.0006 1.000 1.000
Residual Variances
Y 1.000 1.0083 0.0000 0.0454 0.0001 1.000 1.000
Latent Class 2
Y ON
X1 2.000 1.9583 0.0000 0.0327 0.0017 1.000 1.000
X2 1.000 0.9760 0.0000 0.0339 0.0006 1.000 1.000
Residual Variances
Y 1.000 1.0083 0.0000 0.0454 0.0001 1.000 1.000
Between Level
Latent Class 1
Y ON
W 0.700 0.7110 0.0000 0.1240 0.0001 1.000 1.000
Intercepts
Y 2.400 2.1746 0.0000 0.1113 0.0508 0.000 1.000
Thresholds
UB1$1 -1.000 -0.9555 0.0000 0.3145 0.0020 1.000 1.000
UB2$1 -1.000 -0.8009 0.0000 0.3642 0.0397 1.000 1.000
UB3$1 -1.000 -0.2838 0.0000 0.3031 0.5129 0.000 0.000
UB4$1 1.000 0.5858 0.0000 0.3306 0.1715 1.000 0.000
UB5$1 1.000 0.4957 0.0000 0.3629 0.2543 1.000 0.000
UB6$1 1.000 0.7593 0.0000 0.3719 0.0579 1.000 1.000
Residual Variances
Y 0.500 0.4915 0.0000 0.1074 0.0001 1.000 1.000
Latent Class 2
Y ON
W 0.700 0.7110 0.0000 0.1240 0.0001 1.000 1.000
Intercepts
Y 1.000 0.8885 0.0000 0.2336 0.0124 1.000 1.000
Thresholds
UB1$1 1.000 1.5091 0.0000 0.5703 0.2592 1.000 1.000
UB2$1 1.000 1.2588 0.0000 0.4023 0.0670 1.000 1.000
UB3$1 1.000 1.9430 0.0000 0.5082 0.8892 1.000 1.000
UB4$1 -1.000 -0.6531 0.0000 0.3283 0.1204 1.000 1.000
UB5$1 -1.000 -1.1215 0.0000 0.3850 0.0148 1.000 1.000
UB6$1 -1.000 -0.9779 0.0000 0.3552 0.0005 1.000 1.000
Residual Variances
Y 0.500 0.4915 0.0000 0.1074 0.0001 1.000 1.000
Categorical Latent Variables
Within Level
Between Level
CB#1 ON
W 1.000 1.4334 0.0000 0.5295 0.1878 1.000 1.000
Intercepts
CB#1 0.000 0.3878 0.0000 0.4338 0.1504 1.000 0.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.287E-02
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 1
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0 0 0 0 0
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0 0 0 0 0
UB2 0 0 0 0 0
UB3 0 0 0 0 0
UB4 0 0 0 0 0
UB5 0 0 0 0 0
UB6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 0
UB2 0 0
UB3 0 0 0
UB4 0 0 0 0
UB5 0 0 0 0 0
UB6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 0
Y 0 0
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 1 2 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 3
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 2
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0 0 0 0 0
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0 0 0 0 0
UB2 0 0 0 0 0
UB3 0 0 0 0 0
UB4 0 0 0 0 0
UB5 0 0 0 0 0
UB6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 0
UB2 0 0
UB3 0 0 0
UB4 0 0 0 0
UB5 0 0 0 0 0
UB6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 0
Y 0 0
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 1 2 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 3
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 1
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0 0 0 0 0
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0 0 0 0 0
UB2 0 0 0 0 0
UB3 0 0 0 0 0
UB4 0 0 0 0 0
UB5 0 0 0 0 0
UB6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 0
UB2 0 0
UB3 0 0 0
UB4 0 0 0 0
UB5 0 0 0 0 0
UB6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 0
Y 0 0
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 4 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 0 0 5
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 6
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 2
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0 0 0 0 0
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0 0 0 0 0
UB2 0 0 0 0 0
UB3 0 0 0 0 0
UB4 0 0 0 0 0
UB5 0 0 0 0 0
UB6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 0
UB2 0 0
UB3 0 0 0
UB4 0 0 0 0
UB5 0 0 0 0 0
UB6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 0
Y 0 0
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 7 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 0 0 5
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 6
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART (WITHIN)
TAU(U) FOR LATENT CLASS 1
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
0 0 0 0 0
TAU(U) FOR LATENT CLASS 1
UB6$1
________
0
TAU(U) FOR LATENT CLASS 2
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
0 0 0 0 0
TAU(U) FOR LATENT CLASS 2
UB6$1
________
0
PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART (BETWEEN)
TAU(U) FOR LATENT CLASS 1
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
8 9 10 11 12
TAU(U) FOR LATENT CLASS 1
UB6$1
________
13
TAU(U) FOR LATENT CLASS 2
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
14 15 16 17 18
TAU(U) FOR LATENT CLASS 2
UB6$1
________
19
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART (WITHIN)
ALPHA(C)
CB#1 CB#2
________ ________
0 0
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
CB#2 0 0 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART (BETWEEN)
ALPHA(C)
CB#1 CB#2
________ ________
20 0
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 21
CB#2 0 0 0 0 0
STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 1
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0.000 0.000 0.000 0.000 0.000
UB2 0.000 0.000 0.000 0.000 0.000
UB3 0.000 0.000 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 0.000
UB2 0.000 0.000
UB3 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 0.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 2.000 1.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 1.000
X1 0.000 0.000 0.500
X2 0.000 0.000 0.000 0.500
W 0.000 0.000 0.000 0.000 0.000
STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 2
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0.000 0.000 0.000 0.000 0.000
UB2 0.000 0.000 0.000 0.000 0.000
UB3 0.000 0.000 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 0.000
UB2 0.000 0.000
UB3 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 0.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 2.000 1.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 1.000
X1 0.000 0.000 0.500
X2 0.000 0.000 0.000 0.500
W 0.000 0.000 0.000 0.000 0.000
STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 1
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0.000 0.000 0.000 0.000 0.000
UB2 0.000 0.000 0.000 0.000 0.000
UB3 0.000 0.000 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 1.000
UB2 0.000 1.000
UB3 0.000 0.000 1.000
UB4 0.000 0.000 0.000 1.000
UB5 0.000 0.000 0.000 0.000 1.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 1.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 2.400 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.700
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 0.500
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.500
STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 2
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0.000 0.000 0.000 0.000 0.000
UB2 0.000 0.000 0.000 0.000 0.000
UB3 0.000 0.000 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 1.000
UB2 0.000 1.000
UB3 0.000 0.000 1.000
UB4 0.000 0.000 0.000 1.000
UB5 0.000 0.000 0.000 0.000 1.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 1.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 1.000 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.700
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 0.500
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.500
STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART (WITHIN)
TAU(U) FOR LATENT CLASS 1
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
TAU(U) FOR LATENT CLASS 1
UB6$1
________
0.000
TAU(U) FOR LATENT CLASS 2
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
TAU(U) FOR LATENT CLASS 2
UB6$1
________
0.000
STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART (BETWEEN)
TAU(U) FOR LATENT CLASS 1
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
-1.000 -1.000 -1.000 1.000 1.000
TAU(U) FOR LATENT CLASS 1
UB6$1
________
1.000
TAU(U) FOR LATENT CLASS 2
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
1.000 1.000 1.000 -1.000 -1.000
TAU(U) FOR LATENT CLASS 2
UB6$1
________
-1.000
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART (WITHIN)
ALPHA(C)
CB#1 CB#2
________ ________
0.000 0.000
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
CB#2 0.000 0.000 0.000 0.000 0.000
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART (BETWEEN)
ALPHA(C)
CB#1 CB#2
________ ________
0.000 0.000
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 1.000
CB#2 0.000 0.000 0.000 0.000 0.000
POPULATION VALUES FOR WITHIN LEVEL, LATENT CLASS 1
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0.000 0.000 0.000 0.000 0.000
UB2 0.000 0.000 0.000 0.000 0.000
UB3 0.000 0.000 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 0.000
UB2 0.000 0.000
UB3 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 0.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 2.000 1.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 1.000
X1 0.000 0.000 1.000
X2 0.000 0.000 0.000 1.000
W 0.000 0.000 0.000 0.000 0.000
POPULATION VALUES FOR WITHIN LEVEL, LATENT CLASS 2
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0.000 0.000 0.000 0.000 0.000
UB2 0.000 0.000 0.000 0.000 0.000
UB3 0.000 0.000 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 0.000
UB2 0.000 0.000
UB3 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 0.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 2.000 1.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 1.000
X1 0.000 0.000 1.000
X2 0.000 0.000 0.000 1.000
W 0.000 0.000 0.000 0.000 0.000
POPULATION VALUES FOR BETWEEN LEVEL, LATENT CLASS 1
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0.000 0.000 0.000 0.000 0.000
UB2 0.000 0.000 0.000 0.000 0.000
UB3 0.000 0.000 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 0.000
UB2 0.000 0.000
UB3 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 0.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 2.400 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.700
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 0.500
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 1.000
POPULATION VALUES FOR BETWEEN LEVEL, LATENT CLASS 2
NU
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
UB6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
UB1 0.000 0.000 0.000 0.000 0.000
UB2 0.000 0.000 0.000 0.000 0.000
UB3 0.000 0.000 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
UB1 UB2 UB3 UB4 UB5
________ ________ ________ ________ ________
UB1 0.000
UB2 0.000 0.000
UB3 0.000 0.000 0.000
UB4 0.000 0.000 0.000 0.000
UB5 0.000 0.000 0.000 0.000 0.000
UB6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
UB6 Y X1 X2 W
________ ________ ________ ________ ________
UB6 0.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 1.000 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.700
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 0.500
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 1.000
POPULATION VALUES FOR LATENT CLASS INDICATOR MODEL PART (WITHIN)
TAU(U) FOR LATENT CLASS 1
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
TAU(U) FOR LATENT CLASS 1
UB6$1
________
0.000
TAU(U) FOR LATENT CLASS 2
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
TAU(U) FOR LATENT CLASS 2
UB6$1
________
0.000
POPULATION VALUES FOR LATENT CLASS INDICATOR MODEL PART (BETWEEN)
TAU(U) FOR LATENT CLASS 1
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
-1.000 -1.000 -1.000 1.000 1.000
TAU(U) FOR LATENT CLASS 1
UB6$1
________
1.000
TAU(U) FOR LATENT CLASS 2
UB1$1 UB2$1 UB3$1 UB4$1 UB5$1
________ ________ ________ ________ ________
1.000 1.000 1.000 -1.000 -1.000
TAU(U) FOR LATENT CLASS 2
UB6$1
________
-1.000
POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART (WITHIN)
ALPHA(C)
CB#1 CB#2
________ ________
0.000 0.000
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
CB#2 0.000 0.000 0.000 0.000 0.000
POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART (BETWEEN)
ALPHA(C)
CB#1 CB#2
________ ________
0.000 0.000
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 1.000
CB#2 0.000 0.000 0.000 0.000 0.000
TECHNICAL 8 OUTPUT
TECHNICAL 8 OUTPUT FOR REPLICATION 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.19536627D+04 0.0000000 0.0000000 EM
2 -0.19466248D+04 7.0378519 0.0036024 EM
3 -0.19459641D+04 0.6607252 0.0003394 EM
4 -0.19455487D+04 0.4154104 0.0002135 EM
5 -0.19452500D+04 0.2986984 0.0001535 EM
6 -0.19450264D+04 0.2236290 0.0001150 EM
7 -0.19448557D+04 0.1706284 0.0000877 EM
8 -0.19447241D+04 0.1316166 0.0000677 EM
9 -0.19446218D+04 0.1022715 0.0000526 EM
10 -0.19445419D+04 0.0799123 0.0000411 EM
11 -0.19444792D+04 0.0627371 0.0000323 EM
12 -0.19444297D+04 0.0494720 0.0000254 EM
13 -0.19443905D+04 0.0391854 0.0000202 EM
14 -0.19443594D+04 0.0311813 0.0000160 EM
15 -0.19443344D+04 0.0249333 0.0000128 EM
16 -0.19443144D+04 0.0200403 0.0000103 EM
17 -0.19442982D+04 0.0161954 0.0000083 EM
18 -0.19442850D+04 0.0131631 0.0000068 EM
19 -0.19442743D+04 0.0107620 0.0000055 EM
20 -0.19442654D+04 0.0088529 0.0000046 EM
21 -0.19442581D+04 0.0073277 0.0000038 EM
22 -0.19442520D+04 0.0061028 0.0000031 EM
23 -0.19442469D+04 0.0051132 0.0000026 EM
24 -0.19442426D+04 0.0043101 0.0000022 EM
25 -0.19442389D+04 0.0036538 0.0000019 EM
26 -0.19442358D+04 0.0031143 0.0000016 EM
27 -0.19442331D+04 0.0026679 0.0000014 EM
28 -0.19442308D+04 0.0022962 0.0000012 EM
29 -0.19442288D+04 0.0019848 0.0000010 EM
30 -0.19442271D+04 0.0017221 0.0000009 EM
31 -0.19442256D+04 0.0014993 0.0000008 EM
32 -0.19442243D+04 0.0013092 0.0000007 EM
33 -0.19442232D+04 0.0011462 0.0000006 EM
34 -0.19442222D+04 0.0010056 0.0000005 EM
35 -0.19442191D+04 0.0030409 0.0000016 FS
36 -0.19442155D+04 0.0036417 0.0000019 EM
37 -0.19442151D+04 0.0003860 0.0000002 EM
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
UB1
UB2
UB3
UB4
UB5
UB6
Y
X1
X2
W
CB
CLUSTER
Save file
ex10.3.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:20:13
Ending Time: 22:20:14
Elapsed Time: 00:00:01
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